Some properties of a generalized class of analytic functions related with Janowski functions (Q437531)

Summary: We define a class \(\widetilde{T}_k [A, B, \alpha, \rho]\) of analytic functions by using Janowski's functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.